mws_gen_aae_spe_pptsourcesoferror

mws_gen_aae_spe_pptsourcesoferror - NUMERICAL METHODS...

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10/14/11 1 Sources of Error Major: All Engineering Majors Authors: Autar Kaw, Luke Snyder http://numericalmethods.eng.usf.edu Transforming Numerical Methods Education for STEM Undergraduates
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Sources of Error http://numericalmethods.eng.usf.edu
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3 Two sources of numerical error 1) Round off error 2) Truncation error
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4 Round-off Error http://numericalmethods.eng.usf.edu
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5 Round off Error Caused by representing a number approximately 333333 . 0 3 1 2245 ... 4142 . 1 2 2245
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6 Problems created by round off error 28 Americans were killed on February 25, 1991 by an Iraqi Scud missile in Dhahran, Saudi Arabia. The patriot defense system failed to track and intercept the Scud. Why?
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7 Problem with Patriot missile Clock cycle of 1/10 seconds was represented in 24-bit fixed point register created an error of 9.5 x 10 -8 seconds. The battery was on for 100 consecutive hours, thus causing an inaccuracy of 1hr 3600s 100hr 0.1s s 10 9.5 8 × × × = - s 342 . 0 =
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8 Problem (cont.) The shift calculated in the ranging system of the missile was 687 meters. The target was considered to be out of range at a distance greater than 137 meters.
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9 Effect of Carrying Significant Digits in Calculations http://numericalmethods.eng.usf.edu
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mws_gen_aae_spe_pptsourcesoferror - NUMERICAL METHODS...

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